Abstract
We calculateg 0/e whereg 0 is the strength of an elementary magnetic monopole ande the charge on the electron, in terms of a ratio of loop sizes in the twisted and untwisted principal fiber bundles withU(1) the structure group andR 3-{0} the base space. The result involves the present distance around theU(1) space and, rather surprisingly, the structure of the quantum gravitational vacuum. Combining our result with the expression foreg 0 from the Dirac quantization condition gives a final estimate for the fine structure constant,α∼1/100.
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References
Adler, S. (1972).Physical Review D,5, 3021.
Adler, S. (1972). Proc. of Sixteenth Int. Conf. on H. E. Physics, National Accel. Lab., Batavia, Illinois.
Appelquist, T., and Chondos, A. (1983).Physical Review Letters,50, 141.
Baker, M., and Johnson, K. (1969).Physical Review,183, 1292.
Baker, M., and Johnson, K. (1971).Physical Review D,3, 2541.
Bergmann, P. G. (1942).Introduction to the Theory of Relativity. Prentice-Hall, Englewood Clifis, New Jersey.
Chodos, A., and Detweiler, S. (1980).Physical Review D,21, 2167.
Choquet-Bruhat, Y., DeWitt-Morette, C., and Dillard-Bleick, M. (1977).Analysis, Manifolds, and Physics. North-Holland, Amsterdam.
Daniel, M., and Viallet, C. (1980).Reviews of Modem Physics,52, 175.
Dirac, P. A. M. (1931).Proceedings of the Royal Society (London),A133, 60.
Dirac, P. A. M. (1948).Physical Review,74, 817.
Gibbons, G., and Hawking, S. (1977).Physical Review D,15, 2752.
Gross, D., and Wilczek, F. (1973).Physical Review Letters,30, 1343.
Gross, D., and Perry, M. (1983).Nuclear Physics,B226, 29.
Hawking, S. (1978).Physical Review D,18, 1747.
Johnson, K., Baker, M., and Willey, R. (1964).Physical Review,136, B1111.
Johnson, K., Willey, R., and Baker, M. (1967).Physical Review,163, 1699.
Johnson, K., and Baker, M. (1973).Physical Review D,8, 1110.
Kaluza, Th. (1921).Sitzungsberichte der Preussischen Akademie der Wissenschaften, Physikalisch-Mathematische,54, 966.
Klein, O. (1926).Zeitschriff Physiktuer,37, 875.
Klein, O. (1926).Nature (London),118, 516.
Salman, A., and Strathdee, J. (1970).Lettere al Nuovo Cimento,4, 101.
Souriau, J.-M. (1963).Nuovo Cimento,30, 565.
Wu, T., and Yang, C. N. (1975).Physical Review D,12, 3845.
Wyler, A. (1969).Comptes Rendus Hebdomadaires des Seances de l'Academie des Sciences Paris,269A, 743.
Wyler, A. (1971).Comptes Rendus Hebdomadaires des Seances de l'Academie des Sciences Paris,272A, 186.
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Ross, D.K. An estimation of the fine structure constant using fiber bundles. Int J Theor Phys 25, 1–6 (1986). https://doi.org/10.1007/BF00669711
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DOI: https://doi.org/10.1007/BF00669711